A cutting plane algorithm for the one-dimensional cutting stock problem with multiple stock lengths

A cutting plane algorithm for the one-dimensional cutting stock problem with multiple stock lengths

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Article ID: iaor20031907
Country: Netherlands
Volume: 141
Issue: 2
Start Page Number: 274
End Page Number: 294
Publication Date: Sep 2002
Journal: European Journal of Operational Research
Authors: ,
Keywords: programming: integer, programming: branch and bound
Abstract:

A cutting plane approach combining Chvatal–Gomory cutting planes with column generation is generalized for the case of multiple stock lengths in the one-dimensional cutting stock problem. Appropriate modifications of the column generation procedure and the rounding heuristic are proposed. A comparison with the branch-and-price method for the problem with one stock type and representative test results are reported.

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